Finding the Third Proportional to 585 and 1,322.25

Step by Step Solution

1. Step 1: Write the proportion equation
   585 : 1,322.25 = 1,322.25 : x
2. Step 2: Convert to fraction form
   585/1,322.25 = 1,322.25/x
3. Step 3: Cross multiply
   585x = 1,322.25 × 1,322.25
4. Step 4: Simplify right side
   585x = 1,748,345.06
5. Step 5: Solve for x
   x = 1,748,345.06/585
6. Step 6: Final answer
   x = 2,988.62